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(x^2+x y)dy=(x^2+y^2)dx...

`(x^2+x y)dy=(x^2+y^2)dx`

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(x-y^2x)dx=(y-x^2y)dy

Solve: x+y dy/dx=(a^2((x dy/dx-y))/(x^2+y^2))

Knowledge Check

  • General solution of (y+y^(2))dy=(x+x^(2))dx is

    A
    `2(x^(3)-y^(3))+3(x^(2)-y^(2))=c`
    B
    `2(x^(3)+y^(3))+3(x^(2)+y^(2))=c`
    C
    `2(x^(3)+y^(3))-3(x^(2)+y^(2))=c`
    D
    None of these

  • The solution of the differential equation x dx + y dy + (x dy - y dx)/(x^(2) + y^(2)) = 0 , is

    A
    `y = x tan ((x^(2) + y^(2) + C)/(2))`
    B
    `x = y tan ((x^(2) + y^(2) + C)/(2))`
    C
    `y = x tan ((C - x^(2) - y^(2))/(2))`
    D
    None of these

  • The solution of the differential equation x dx + y dy+ (x dy - y dx)/(x^(2)+y^(2))=0 is

    A
    ` y = x tan ((x^(2)+y^(2)+C)/2)`
    B
    ` x = y tan ((x^(2)+y^(2)+C)/2)`
    C
    ` y = x tan ((C-x^(2)-y^(2))/2)`
    D
    None of the above

    • Similar Questions

    Explore conceptually related problems

    The solution of (x^(2)+y)dx+(x+y^(2))dy=0

    x+y(dy)/(dx) =x^(2) +y^(2)

    solve x(dy)/(dx)-y=sqrt(x^(2)+y^(2))

    Solution of the differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx))=(x sin^(2)(x^(2)+y^(2)))/(y^(3))

    (2x+y)(dy)/(dx)=x+2y=

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